{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:XAY6KFXOLOD7EQKZU3BRTN6TGR","short_pith_number":"pith:XAY6KFXO","schema_version":"1.0","canonical_sha256":"b831e516ee5b87f24159a6c319b7d3346887d9191ca6f8ebec9d9a5bb2eb3339","source":{"kind":"arxiv","id":"2411.14226","version":1},"attestation_state":"computed","paper":{"title":"Regularization and passivity-preserving model reduction of quasilinear magneto-quasistatic coupled problems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA"],"primary_cat":"math.NA","authors_text":"Johanna Kerler-Back, Tatjana Stykel, Timo Reis","submitted_at":"2024-11-21T15:36:45Z","abstract_excerpt":"We consider the quasilinear magneto-quasistatic field equations that arise in the simulation of low-frequency electromagnetic devices coupled to electrical circuits. Spatial discretization of these equations on 3D domains using the finite element method results in a singular system of differential-algebraic equations (DAEs). First, we analyze the structural properties of this system and present a novel regularization approach based on projecting out the singular state components. Next, we explore the passivity of the variational magneto-quasistatic problem and its discretization by defining su"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2411.14226","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2024-11-21T15:36:45Z","cross_cats_sorted":["cs.NA"],"title_canon_sha256":"5e92a6c74e440b0eaa249bc0b37182f1f82b8a3ae1478678d27bc5e1f6243ad4","abstract_canon_sha256":"395e0472000c1676ecd6c7e997586b1919c577da2eb8a6224078e3bc9199f157"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:38:43.672978Z","signature_b64":"27/c3/DPTsWLFEShPxj3j9iKo3WpVI3A4Qhfn6wyMKqNBMqLd0Wy4gYVOaQfH+So/+LuAE8hf8S24G4p12EDAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b831e516ee5b87f24159a6c319b7d3346887d9191ca6f8ebec9d9a5bb2eb3339","last_reissued_at":"2026-07-05T09:38:43.672496Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:38:43.672496Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Regularization and passivity-preserving model reduction of quasilinear magneto-quasistatic coupled problems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA"],"primary_cat":"math.NA","authors_text":"Johanna Kerler-Back, Tatjana Stykel, Timo Reis","submitted_at":"2024-11-21T15:36:45Z","abstract_excerpt":"We consider the quasilinear magneto-quasistatic field equations that arise in the simulation of low-frequency electromagnetic devices coupled to electrical circuits. Spatial discretization of these equations on 3D domains using the finite element method results in a singular system of differential-algebraic equations (DAEs). First, we analyze the structural properties of this system and present a novel regularization approach based on projecting out the singular state components. Next, we explore the passivity of the variational magneto-quasistatic problem and its discretization by defining su"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.14226","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2411.14226/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"2411.14226","created_at":"2026-07-05T09:38:43.672556+00:00"},{"alias_kind":"arxiv_version","alias_value":"2411.14226v1","created_at":"2026-07-05T09:38:43.672556+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.14226","created_at":"2026-07-05T09:38:43.672556+00:00"},{"alias_kind":"pith_short_12","alias_value":"XAY6KFXOLOD7","created_at":"2026-07-05T09:38:43.672556+00:00"},{"alias_kind":"pith_short_16","alias_value":"XAY6KFXOLOD7EQKZ","created_at":"2026-07-05T09:38:43.672556+00:00"},{"alias_kind":"pith_short_8","alias_value":"XAY6KFXO","created_at":"2026-07-05T09:38:43.672556+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/XAY6KFXOLOD7EQKZU3BRTN6TGR","json":"https://pith.science/pith/XAY6KFXOLOD7EQKZU3BRTN6TGR.json","graph_json":"https://pith.science/api/pith-number/XAY6KFXOLOD7EQKZU3BRTN6TGR/graph.json","events_json":"https://pith.science/api/pith-number/XAY6KFXOLOD7EQKZU3BRTN6TGR/events.json","paper":"https://pith.science/paper/XAY6KFXO"},"agent_actions":{"view_html":"https://pith.science/pith/XAY6KFXOLOD7EQKZU3BRTN6TGR","download_json":"https://pith.science/pith/XAY6KFXOLOD7EQKZU3BRTN6TGR.json","view_paper":"https://pith.science/paper/XAY6KFXO","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2411.14226&json=true","fetch_graph":"https://pith.science/api/pith-number/XAY6KFXOLOD7EQKZU3BRTN6TGR/graph.json","fetch_events":"https://pith.science/api/pith-number/XAY6KFXOLOD7EQKZU3BRTN6TGR/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/XAY6KFXOLOD7EQKZU3BRTN6TGR/action/timestamp_anchor","attest_storage":"https://pith.science/pith/XAY6KFXOLOD7EQKZU3BRTN6TGR/action/storage_attestation","attest_author":"https://pith.science/pith/XAY6KFXOLOD7EQKZU3BRTN6TGR/action/author_attestation","sign_citation":"https://pith.science/pith/XAY6KFXOLOD7EQKZU3BRTN6TGR/action/citation_signature","submit_replication":"https://pith.science/pith/XAY6KFXOLOD7EQKZU3BRTN6TGR/action/replication_record"}},"created_at":"2026-07-05T09:38:43.672556+00:00","updated_at":"2026-07-05T09:38:43.672556+00:00"}